#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; std::vector prime_sieve(int n, bool get_only_prime) { std::vector prime, smallest_prime_factor(n + 1); std::iota(smallest_prime_factor.begin(), smallest_prime_factor.end(), 0); for (int i = 2; i <= n; ++i) { if (smallest_prime_factor[i] == i) prime.emplace_back(i); for (int p : prime) { if (i * p > n || p > smallest_prime_factor[i]) break; smallest_prime_factor[i * p] = p; } } return get_only_prime ? prime : smallest_prime_factor; } struct Divisor { std::vector smallest_prime_factor; Divisor(const int n) : smallest_prime_factor(prime_sieve(n, false)) {} std::vector query(int n) { std::vector res{1}; while (n > 1) { const int prime_factor = smallest_prime_factor[n], d = res.size(); int tmp = 1; for (; n % prime_factor == 0; n /= prime_factor) { tmp *= prime_factor; for (int i = 0; i < d; ++i) { res.emplace_back(res[i] * tmp); } } } // std::sort(res.begin(), res.end()); return res; } }; int main() { int n, q; cin >> n >> q; Divisor divisor(n); vector dp1(n + 1, 0), dp2(n + 1, 1); dp1[1] = 1; FOR(i, 1, n + 1) { for (int j = i * 2; j <= n; j += i) dp1[j] += dp1[i]; } for (int i = n; i >= 1; --i) { vector d = divisor.query(i); d.pop_back(); for (int j : d) dp2[j] += dp2[i]; } while (q--) { int x; cin >> x; cout << dp1[x] * dp2[x] << '\n'; } return 0; }